Nonparametric System Identification

by Wlodzimierz Greblicki, Miroslaw Pawlak

Overview

Presenting a thorough overview of the theoretical foundations of non-parametric system identification for nonlinear block-oriented systems, this books shows that non-parametric regression can be successfully applied to system identification, and it highlights the achievements in doing so. With emphasis on Hammerstein, Wiener systems, and their multidimensional extensions, the authors show how to identify nonlinear subsystems and their characteristics when limited information exists. Algorithms using trigonometric, Legendre, Laguerre, and Hermite series are investigated, and the kernel algorithm, its semirecursive versions, and fully recursive modifications are covered. The theories of modern non-parametric regression, approximation, and orthogonal expansions, along with new approaches to system identification (including semiparametric identification), are provided. Detailed information about all tools used is provided in the appendices. This book is for researchers and practitioners in systems theory, signal processing, and communications and will appeal to researchers in fields like mechanics, economics, and biology, where experimental data are used to obtain models of systems.

Product Details

ISBN-13:	9780521868044
Publisher:	Cambridge University Press
Publication date:	06/16/2008
Pages:	400
Product dimensions:	7.17(w) x 10.31(h) x 1.22(d)

About the Author

Włodzimierz Greblicki is a professor at the Institute of Computer Engineering, Control, and Robotics at the Wrocław University of Technology, Poland.

Mirosław Pawlak is a professor in the Department of Electrical and Computer Engineering at the University of Manitoba, Canada. He was awarded his PhD in 1982 from the Wrocław University of Technology, Poland. Both authors have published extensively over the years in the area of non-parametric theory and applications.

Table of Contents

1. Introduction; 2. Discrete-time Hammerstein systems; 3. Kernel algorithms; 4. Semi-recursive kernel algorithms; 5. Recursive kernel algorithms; 6. Orthogonal series algorithms; 7. Algorithms with ordered observations; 8. Continuous-time Hammerstein systems; 9. Discrete-time Wiener systems; 10. Kernel and orthogonal series algorithms; 11. Continuous-time Wiener system; 12. Other block-oriented nonlinear systems; 13. Multivariate nonlinear block-oriented systems; 14. Semiparametric identification; Appendices.

Editorial Reviews

Review of the hardback: 'All chapters end with precise technical derivations of the presented material and bibliographical notes providing numerous references to the related literature … The monograph fills the gap in the system identification monographic literature dealing mainly with the parametric approach, and can be recommended for researchers and practitioners interested in system identification problems where a priori information is very limited and only experimental data can be reliably used to recover system models.' Zentralblatt MATH

From the Publisher